標(biāo)題: Titlebook: Differential Equations for Studies in Computational Electrophysiology; Karoline Horgmo J?ger,Aslak Tveito Book‘‘‘‘‘‘‘‘ 2023 The Editor(s) [打印本頁(yè)] 作者: Inspection 時(shí)間: 2025-3-21 19:47
書(shū)目名稱Differential Equations for Studies in Computational Electrophysiology影響因子(影響力)
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書(shū)目名稱Differential Equations for Studies in Computational Electrophysiology讀者反饋
書(shū)目名稱Differential Equations for Studies in Computational Electrophysiology讀者反饋學(xué)科排名
作者: 燦爛 時(shí)間: 2025-3-21 21:43
A System of Ordinary Differential Equationsependently, by Nagumo et. al. [2] in 1962. The model is a system of ordinary differential equations with two unknowns, and is commonly used as a simple model for the action potentials of excitable pacemaker cells.作者: sclera 時(shí)間: 2025-3-22 04:10 作者: 拖債 時(shí)間: 2025-3-22 04:39 作者: GRE 時(shí)間: 2025-3-22 09:59
Operator Splittinglue the pieces together to yield a solution of the new problem. This approach is also very useful in software development; well-tested pieces of software can be glued together in order to obtain solutions to a wider class of problems. Operator splitting is a technique that illustrates this principle作者: helper-T-cells 時(shí)間: 2025-3-22 14:08
Membrane Modelswere simple, theoretical differential equations without units. From this point forwards, we will look at how to apply the methods introduced in the previous chapters to differential equations that are set up to model aspects of electrophysiology.作者: helper-T-cells 時(shí)間: 2025-3-22 19:13
The Cable Equatione will revisit the cable equation and go through a simple derivation of the model. In addition, we will consider the numerical solution of the cable equation for a neuronal axon with membrane dynamics modeled by the Hodgkin-Huxley model.作者: 把…比做 時(shí)間: 2025-3-22 22:30
Spatial Models of Cardiac Electrophysiologybsolutely essential in order to understand the electrophysiology of excitable cells. However, some essential properties can only be studied in spatially resolved models; i.e., in models representing spatial variation across a single cell or a collection of cells.作者: exclamation 時(shí)間: 2025-3-23 01:35
Re-Introducing the Cell: The Extracellular-Membrane-Intracellular (EMI) Modeld and provides valuable insights into the conduction of electrical signals in cardiac tissue. However, the model has one glaring limitation: The cardiomyocyte is nowhere to be found in the model, since the extracellular space, the intracellular space and the cell membrane are all assumed to be every作者: 敲詐 時(shí)間: 2025-3-23 07:51 作者: conspicuous 時(shí)間: 2025-3-23 12:15
Book‘‘‘‘‘‘‘‘ 2023ed to gain attention in the field of computational electrophysiology are also presented. If you just want to read .one. .book., it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text..作者: tympanometry 時(shí)間: 2025-3-23 14:12
2512-1677 f you just want to read .one. .book., it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text..978-3-031-30851-2978-3-031-30852-9Series ISSN 2512-1677 Series E-ISSN 2512-1685 作者: hair-bulb 時(shí)間: 2025-3-23 20:17 作者: 最有利 時(shí)間: 2025-3-24 01:41 作者: Stricture 時(shí)間: 2025-3-24 03:40 作者: 整頓 時(shí)間: 2025-3-24 08:58
Book‘‘‘‘‘‘‘‘ 2023t covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differen作者: 不要嚴(yán)酷 時(shí)間: 2025-3-24 13:16
A Simple Cable Equationthe equation come about. But here, we will just take a simple version of the equations for granted and then try to solve them. We will observe that the few techniques we learned above are actually sufficient to solve the non-linear reaction-diffusion equations we consider here.作者: Brittle 時(shí)間: 2025-3-24 17:15
https://doi.org/10.1007/978-3-658-42954-6and leaving it out of the model has consequences. For instance, it becomes impossible to investigate the detailed dynamics of the electrochemical processes in the vicinity of a small collection of cells.作者: FORGO 時(shí)間: 2025-3-24 20:06 作者: Synapse 時(shí)間: 2025-3-24 23:25
11.1.3 Cation radicals from silanes,ial equation and the numerical scheme approximating the equation. One nice consequence of this is that, as we saw above, we can explicitly study the error introduced by the numerical approximation. In this chapter, we will use the same approach to study the error of the numerical approximation of the diffusion equation.作者: 礦石 時(shí)間: 2025-3-25 06:56 作者: 死亡率 時(shí)間: 2025-3-25 08:41 作者: 幼稚 時(shí)間: 2025-3-25 14:47
Operator Splitting. And it’s no miracle because there are proofs of convergence. Anyway, we will illustrate operator splitting with two examples and then come back to this technique when the equations become more challenging.作者: 門(mén)閂 時(shí)間: 2025-3-25 19:30
8.1.1.1.4.4 2,4,5-trisubstituted phenoxyls,ergy as possible (don’t be ashamed of that - energy preservation is both fashionable and a fundamental property of many biological mechanisms - it’s fine) you can get a good overview from this chapter alone.作者: 憤慨點(diǎn)吧 時(shí)間: 2025-3-25 21:34 作者: TAP 時(shí)間: 2025-3-26 00:44
11.1.3 Cation radicals from silanes,the diffusion equation is also useful as an example of how to deal with a PDE using numerical methods. We will start by considering it as a stand-alone model, but in the next chapterswe will study it in combination with non-linear ODEs. This chapter therefore serves as a warm-up for the more complex作者: 比賽用背帶 時(shí)間: 2025-3-26 05:06 作者: 哺乳動(dòng)物 時(shí)間: 2025-3-26 10:32
Masaru Shiotani,Mikael Lindgrenlue the pieces together to yield a solution of the new problem. This approach is also very useful in software development; well-tested pieces of software can be glued together in order to obtain solutions to a wider class of problems. Operator splitting is a technique that illustrates this principle作者: Orgasm 時(shí)間: 2025-3-26 13:58 作者: 反饋 時(shí)間: 2025-3-26 17:11 作者: 分發(fā) 時(shí)間: 2025-3-27 00:59 作者: Aggrandize 時(shí)間: 2025-3-27 03:59
https://doi.org/10.1007/978-3-658-42954-6d and provides valuable insights into the conduction of electrical signals in cardiac tissue. However, the model has one glaring limitation: The cardiomyocyte is nowhere to be found in the model, since the extracellular space, the intracellular space and the cell membrane are all assumed to be every作者: 意外的成功 時(shí)間: 2025-3-27 06:14
https://doi.org/10.1007/978-3-658-42954-6ential is similar across the whole cell membrane, and the model represents the action potential as a function of time alone. No spatial variable is involved in the pure membrane models, so a length scale of these models does not make sense.作者: 舊病復(fù)發(fā) 時(shí)間: 2025-3-27 09:58 作者: 復(fù)習(xí) 時(shí)間: 2025-3-27 17:38 作者: DEMUR 時(shí)間: 2025-3-27 18:13 作者: 津貼 時(shí)間: 2025-3-27 23:39
A System of Ordinary Differential Equationsependently, by Nagumo et. al. [2] in 1962. The model is a system of ordinary differential equations with two unknowns, and is commonly used as a simple model for the action potentials of excitable pacemaker cells.作者: Apoptosis 時(shí)間: 2025-3-28 03:43
Membrane Modelswere simple, theoretical differential equations without units. From this point forwards, we will look at how to apply the methods introduced in the previous chapters to differential equations that are set up to model aspects of electrophysiology.作者: 注射器 時(shí)間: 2025-3-28 09:54 作者: adroit 時(shí)間: 2025-3-28 10:53
Spatial Models of Cardiac Electrophysiologybsolutely essential in order to understand the electrophysiology of excitable cells. However, some essential properties can only be studied in spatially resolved models; i.e., in models representing spatial variation across a single cell or a collection of cells.作者: 自作多情 時(shí)間: 2025-3-28 16:27 作者: RECUR 時(shí)間: 2025-3-28 20:56
Karoline Horgmo J?ger,Aslak TveitoThis text provides easy access to a field of growing importance.It requires only knowledge of basic calculus and linear algebra.The text is open access, and the software for all examples of the text i作者: DEBT 時(shí)間: 2025-3-29 02:12
Simula SpringerBriefs on Computinghttp://image.papertrans.cn/d/image/278691.jpg作者: arbovirus 時(shí)間: 2025-3-29 03:47
https://doi.org/10.1007/978-3-031-30852-9Open Access; Action potential; Cardiomyocytes; Differential equations; numerical methods; software; comput作者: 創(chuàng)新 時(shí)間: 2025-3-29 08:35
978-3-031-30851-2The Editor(s) (if applicable) and The Author(s) 2023作者: 暴露他抗議 時(shí)間: 2025-3-29 13:25 作者: 苦惱 時(shí)間: 2025-3-29 18:57
8.1.1.1.4.4 2,4,5-trisubstituted phenoxyls,ergy as possible (don’t be ashamed of that - energy preservation is both fashionable and a fundamental property of many biological mechanisms - it’s fine) you can get a good overview from this chapter alone.
